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Finding the Third Proportional to 54,792 and 78,372

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Solution

The third proportional to 54,792 and 78,372 is: 112,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792 : 78,372 = 78,372 : x
  2. Step 2: Convert to fraction form
    54,792/78,372 = 78,372/x
  3. Step 3: Cross multiply
    54,792x = 78,372 × 78,372
  4. Step 4: Simplify right side
    54,792x = 6,142,170,384
  5. Step 5: Solve for x
    x = 6,142,170,384/54,792
  6. Step 6: Final answer
    x = 112,099.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.